The KdV-type equations first arise in the study of shallow wave propagations, and later are widely used to describe the propagation of waves in a variety of nonlinear and dispersive media. In the literature, these equations have wide applications in scientific fields including acoustics, nonlinear optics, hydromagnetics, and among others [1]}. As an important model in the family of KdV-type equations, the ZK equation (REF ) is a high dimensional generalization of the 1D KdV equation (REF ), which governs the behavior of weakly nonlinear ion-acoustic waves in a plasma comprising cold ions and hot isothermal electrons in the presence of a uniform magnetic field. It was found that the solitary wave solutions of the ZK equation are inelastic [2]}.
